Summary and Analysis

Geometry: Inductive and Deductive Reasoning

Inductive Reasoning

Deductive Reasoning

Problem :
Can inductive reasoning be used to formally prove something?

No.

Problem :
What is the basic role of inductive reasoning in geometry?

Inductive reasoning leads people to form hypotheses based on observations made.
Then
these hypotheses can be tested rigorously using other methods. Inductive
reasoning is
how people make generalizations about sets of things and form hypotheses
accordingly.